ANSWER QUICKLY.. You have $90 and your brother has $120. You are saving $18 per week
and your brother is saving $15 per week. How many weeks will it take for
you and your brother to have the same amount of money saved? *
10 weeks
1 week
5 weeks
12 weeks

10 weeks

Step-by-step explanation:

Let's set an equation for you and your brother.

You have $90 plus $18 for every week you save (x).

90+18x

And your brother has $120 plus $15 dollars per week that he saves (x)

120+15x

You want to have the sum of the money equal so combine the two concluded statements

90+18x=120+15x

Arrange them so that you have like terms on each side

90+18x-15x=12+15x-15x

90+3x=120

90-90+3x=120-90

3x=30

x=10

"x" is our number of weeks you and your brother save so the answer is 10 weeks

Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2